(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Integrate

1/(x^{2}+11x +29)

2. Relevant equations

3. The attempt at a solution

I'm doing something wrong, but can't figure out what...

Complete the square so that the denominator equals (x+2)^{2}+25

Then divide by 25: ((x+2)^{2})/25 + 1

Move that 25 into the squared part: ((x+2)/5)^{2}+1

Substitute the squared part for u.

Find du/dx = 1/5, and therefore 5du=dx

Now we have 5*(integral sign) du / (u^{2}+1)

This gives 5arctan(u)+C --> substitute u back for what you had before.

But the answer is 1/5arctan(u). Where did I go wrong?

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# Homework Help: Integrating Using Arctan

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